| 关于小伸缩商拟共形群的几个定理 |
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| 引用本文： | 戴滨林.关于小伸缩商拟共形群的几个定理[J].数学杂志,2005,25(6):655-658. |
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| 作者姓名： | 戴滨林 |
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| 作者单位： | 复旦大学数学研究所,上海,200433;上海财经大学应用数学系,上海,200433 |
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| 基金项目： | 国家自然科学基金资助项目（10271077） |
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| 摘 要： | 本文研究了单位球Bn上小伸缩商拟共形群的离散性质，给出了一个收敛定理，并且证明了在一定限制条件下任意一个非初等非离散小伸缩商拟共形群含有一个二元生成的非初等非离散子群。
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| 关 键 词： | 非初等群 离散群 极限集 伸缩商 |
| 文章编号： | 0255-7797（2005）06-0655-04 |
| 收稿时间： | 2003-06-04 |
| 修稿时间： | 2003-06-042003-09-18 |
THEOREMS ON QUASICONFORMAL GROUPS WITH SMALL DILATATION |
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| DAI Bin-lin.THEOREMS ON QUASICONFORMAL GROUPS WITH SMALL DILATATION[J].Journal of Mathematics,2005,25(6):655-658. |
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| Authors: | DAI Bin-lin |
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| Institution: | Dept. of Applied Math. ,Shanghai University of Finance and Economics, Shanghai 200433, China;Institute of Math. , Fudan University, Shanghai 200433, China |
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| Abstract: | In this paper, we study the discreteness of non-elementary quasiconformal groups with small dilatation. We obtain a convergence theorem and prove that a nonelementary and nondiscrete group under some conditions contains a nonelementary and nondiscrete subgroup generated by two elements. |
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| Keywords: | limit sets nonelementary groups discrete groups small dilatation |
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